STATISTICAL-ANALYSIS OF REPEATED EVENTS FORMING RENEWAL PROCESSES

被引:96
作者
AALEN, OO
HUSEBYE, E
机构
[1] Section of Medical Statistics, University of Oslo, Oslo, N-0317
[2] Department of Internal Medicine, Ullevål University Hospital of Oslo, Oslo
关键词
D O I
10.1002/sim.4780100806
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
For each of several individuals a sequence of repeated events, forming a renewal process, is observed up to some censoring time. The object is to estimate the average interevent time over the population of individuals as well as the variation of interevent times within and between individuals. Medical motivation comes from gastroenterology, and concerns the occurrence of certain cyclic movements in the small bowel during the fasting state. Two statistical models are considered: one is the standard variance component model adapted to censored data, and the other is a recent intensity based model with a random proportionality factor representing interindividual variation. These models are applied to the motility data, and their advantages are discussed. The intensity based model allows simple empirical Bayes estimation of the expected interevent times for an individual in the presence of censoring.
引用
收藏
页码:1227 / 1240
页数:14
相关论文
共 26 条
[1]  
Husebye E., Skar V., Aalen O.O., Osnes M., Digital ambulatory manometry of the small intestine in healthy adults: estimation of the variation within and between individuals and statistical management of aborted MMC periods, Digestive Diseases and Sciences, 35, pp. 1057-1065, (1990)
[2]  
Manton K.G., Stallard E., Vaupel J.W., Methods for comparing the mortality experience of heterogeneous populations, Demography, 18, pp. 389-410, (1981)
[3]  
Hougaard P., Life table methods for heterogeneous populations: distributions describing the heterogeneity, Biometrika, 71, pp. 75-83, (1984)
[4]  
Hougaard P., Survival models for heterogeneous populations derived from stable distributions, Biometrika, 73, pp. 387-396, (1986)
[5]  
Aalen O.O., Heterogeneity in survival analysis, Statistics in Medicine, 7, pp. 1121-1137, (1988)
[6]  
Freedman L., Sylvester R., Byar D.P., Using permutation tests and bootstrap confidence limits to analyze repeated events data from clinical trials, Controlled Clinical Trials, 10, pp. 129-141, (1989)
[7]  
Husebye E., Skar V., Osnes M., Digital ambulatory registration of small intestine motility, Scandinavian Journal of Gastroenterology, 23, (1988)
[8]  
Thompson D.G., Wingate D.L., Archer L., Benson M.J., Green W.J., Hardy R.J., Normal patterns of human upper small‐bowel motor activity recorded by prolonged radiotelemetry, Gut, 21, pp. 500-506, (1980)
[9]  
Rees W.D.W., Malagelada J.R., Miller L.J., Go V.L.W., Human interdigestive and postprandial gastrointestinal motor and gastrointestinal hormone patterns, Digestive Diseases and Sciences, 27, pp. 321-329, (1982)
[10]  
Kerlin P., Phillips S., Variability of motility of the ileum and jejunum in healthy humans, Gastroenterology, 82, pp. 694-700, (1982)